Pith Number

pith:XTUX3NBK

pith:2018:XTUX3NBKEEMOCATSZUXIJYBWWL

not attested not anchored not stored refs pending

All Cyclic Group Facets Inject

Matthias K\"oppe, Yuan Zhou

arxiv:1807.09758 v2 · 2018-07-24 · math.GR · math.OC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XTUX3NBKEEMOCATSZUXIJYBWWL}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:48:22.541887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bce97db42a2118e10272cd2e84e036b2e5c7b0293da3191c88fcb274f77cb035

Aliases

arxiv: 1807.09758 · arxiv_version: 1807.09758v2 · doi: 10.48550/arxiv.1807.09758 · pith_short_12: XTUX3NBKEEMO · pith_short_16: XTUX3NBKEEMOCATS · pith_short_8: XTUX3NBK

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XTUX3NBKEEMOCATSZUXIJYBWWL \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bce97db42a2118e10272cd2e84e036b2e5c7b0293da3191c88fcb274f77cb035

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "678cd8641b5bc3200fdcf797b7900dbc6e7b44c09ca0d2e33784bb24c13e7dfd",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-07-24T18:18:30Z",
    "title_canon_sha256": "8116144965caf16d369300e3f14c186b5aef12d26931ca4f2484ac2cf1c00369"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09758",
    "kind": "arxiv",
    "version": 2
  }
}